EasyCalculusca-009

Midpoint Rule

Problem

Approximate a definite integral from function values sampled at the midpoints of n uniform subintervals.

With uniform spacing dx, midpoint = dx * sum(values).

Return 0.0 for an empty sample list.

Hint

Every sample already represents a whole subinterval, so just sum and scale by dx.

case 1

in: [[1,1,1,1],0.25]

expected: 1

case 2

in: [[0,1,4,9],1]

expected: 14

case 3

in: [[1,2,3],0.5]

expected: 3

case 4

in: [[],1]

expected: 0

Starter codePython

def midpoint_rule(values, dx):
    # values are samples at subinterval midpoints
    # Your code here
    pass

4 test cases · run your code against them in the editor